Question
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Answer
The mean of the data set is 30.
Solution
First, list the given data:
- Compute the sum of the data:
-
Count the number of data points:
There are 6 numbers. -
Calculate the mean by dividing the sum by the number of data points:
Thus, the mean of the data set is
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Simplify this solution The Deep Dive
To find the mean of the data set
The sum is:
There are 6 values in total. So, the mean is:
The mean of the data set is
Now, let’s dive into some interesting aspects of the mean!
The concept of the mean, or average, dates all the way back to ancient civilizations like the Egyptians and Greeks, who used it in their calculations for trade and land measurement. It’s fascinating how this simple calculation has stood the test of time and is still a fundamental element in various fields, from statistics to economics!
In real-world applications, the mean is an essential tool for making decisions. Whether in business for analyzing sales data or in education for calculating student performance, the mean provides a valuable overview of data trends. However, be cautious! If your data set contains outliers (extremely high or low values), they can skew the mean significantly, leading to potentially misleading interpretations!
